Two-way Checkback

Two-way checkback, introduced by Kit Woolsey in an
article in Bridge Today, uses the rebids of
two of either minor by responder after opener's 1NT
rebid as artificial and forcing. In the Woolsey
style, 2 puppets to 2 to play 2
or 3 or to invite game in various strains.
2 over 1NT is artificial and game forcing.

Two-way is super if playing weak notrumps, so
that a 1NT rebid by opener shows extra values.
With those methods, responder will often have a
game forcing hand; indicating that at the level
of 2 is quite helpful. Two-way also is
nice when playing Walsh-style responses to 1,
because responder can play 2 without fear of
correction back to his short major.

Details are below with a few interesting tinkers.

"Purish" means "most of the high cards in the long
suits. "m" means a minor suit; "M" means a major
suit; "OM" means the other major; "om" means the
other minor.

Priorities:
1) bid 4 of the other major
2) bid 3 of responder's major
3) rebid a six-bagger
[4] show 2-2-4-5 or 2-2-5-4?
5) rebid 2NT

This set of choices is due to Woolsey, probably
mostly intended for weak NT systems; this is most
likely to get the partnership to play the hand from
the strong NT's side. He claims that it doesn't
really matter which of the first two is highest
priority, and some others prefer to show 3-card
support first, while others prefer to bid hearts
first.

1m-1M; 1NT-2; any-?

2 = if 1M = 1, then 2 = 6-card suit, notrumpy hand
if 1M = 1, then 2 = ?
2NT = 1 random and forcing with doubt about 3NT? (probably 17-count)
3any = game forcing, notrumpy 5-5 or 6+ single suit
3NT = to play
We play 2-way Checkback after 1-1; 1NT
and 1-1; 1NT, also. All sequences are
what one might expect, but here are some examples: